The functional variable method for finding exact solutions of some nonlinear time-fractional differential equations

Pramana

Wenjun Liu1¹  Kewang Chen¹ 

[1] College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China$$

关键词: Exact solutions;    functional variable method;    time-fractional Klein–Gordon equation;    time-fractional Hirota–Satsuma coupled KdV system;    nonlinear time-fractional differential equations.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we implemented the functional variable method and the modified Riemann–Liouville derivative for the exact solitary wave solutions and periodic wave solutions of the time-fractional Klein–Gordon equation, and the time-fractional Hirota–Satsuma coupled KdV system. This method is extremely simple but effective for handling nonlinear time-fractional differential equations.

【 授权许可】

Unknown